Atkin-Lehner |
2+ 11- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
60632c |
Isogeny class |
Conductor |
60632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-225921622784 = -1 · 28 · 11 · 134 · 532 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 11- 13- -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,29317] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-106:1] [-3:182:1] |
Generators of the group modulo torsion |
j |
-908803769344/882506339 |
j-invariant |
L |
8.408092289956 |
L(r)(E,1)/r! |
Ω |
0.90609304188501 |
Real period |
R |
0.28998444079672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121264c1 |
Quadratic twists by: -4 |